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85443488 = 2513293701
BaseRepresentation
bin1010001011111…
…00001110100000
312221202222102122
411011330032200
5133333142423
612251203412
72055154244
oct505741640
9187688378
1085443488
1144259a59
1224746568
1314917ca0
14b4c2424
15777b8c8
hex517c3a0

85443488 has 48 divisors (see below), whose sum is σ = 182034216. Its totient is φ = 39244800.

The previous prime is 85443469. The next prime is 85443499. The reversal of 85443488 is 88434458.

It can be written as a sum of positive squares in 4 ways, for example, as 84419344 + 1024144 = 9188^2 + 1012^2 .

It is a super-2 number, since 2×854434882 = 14601179283212288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121538 + ... + 122238.

Almost surely, 285443488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85443488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91017108).

85443488 is an abundant number, since it is smaller than the sum of its proper divisors (96590728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85443488 is a wasteful number, since it uses less digits than its factorization.

85443488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1009 counting only the distinct ones).

The product of its digits is 491520, while the sum is 44.

The square root of 85443488 is about 9243.5646803601. The cubic root of 85443488 is about 440.4463239676.

The spelling of 85443488 in words is "eighty-five million, four hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 293 416 586 701 1172 1402 2344 2804 3809 4688 5608 7618 9113 9376 11216 15236 18226 22432 30472 36452 60944 72904 121888 145808 205393 291616 410786 821572 1643144 2670109 3286288 5340218 6572576 10680436 21360872 42721744 85443488